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Finding the Fourth Proportional to 9,861.70, 14,793.90 and 3,287.20

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Solution

The fourth proportional to 9,861.70, 14,793.90 and 3,287.20 is: 4,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.70 : 14,793.90 = 3,287.20 : x
  2. Step 2: Convert to fraction form
    9,861.70/14,793.90 = 3,287.20/x
  3. Step 3: Cross multiply
    9,861.70x = 14,793.90 × 3,287.20
  4. Step 4: Simplify right side
    9,861.70x = 48,630,508.08
  5. Step 5: Solve for x
    x = 48,630,508.08/9,861.70
  6. Step 6: Final answer
    x = 4,931.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.